My $$ law.com is a recent start$-$up trying to cater to customers in search of legal services online. Unlike traditional law firms, My$-$law.com allows for extensive interaction between lawyers and customers via telephone and the internet. In order to allow customers to interact with law firm$$s lawyers, customers are encouraged to send e$-$mails to my$-$lawyer@My$-$law.com.

Emails arrive from $8$ A$.$M$.$ to $6$ P$.$M$.$ with an average inter$-$arrival time of $5$min $($coefficient of variation for the arrivals is $1).$ At each moment in time, there is exactly one lawyer $$on call$$ that is sitting at his or her desk waiting for incoming calls. It takes the lawyer, on average, $4$ minutes to write the response e$-$mail. The standard deviation of this time is $4$ minutes.